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Finding the Fourth Proportional to 305.23, 457.85 and 161.23

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Solution

The fourth proportional to 305.23, 457.85 and 161.23 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.23 : 457.85 = 161.23 : x
  2. Step 2: Convert to fraction form
    305.23/457.85 = 161.23/x
  3. Step 3: Cross multiply
    305.23x = 457.85 × 161.23
  4. Step 4: Simplify right side
    305.23x = 73,819.16
  5. Step 5: Solve for x
    x = 73,819.16/305.23
  6. Step 6: Final answer
    x = 241.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.